Volume of Cylinder

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

What does the term 'diameter' refer to in a cylinder?

Back

The diameter is the distance across the circular base of the cylinder, passing through the center.

Front

If the diameter of a cylinder is 10 inches, what is the radius?

Back

The radius is 5 inches, which is half of the diameter.

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

V = π(3)²(5) = 45π ≈ 141.37 cubic inches.

Front

What is the relationship between diameter and radius?

Back

The radius is half of the diameter.

Front

What is the approximate value of π (pi)?

Back

π is approximately 3.14.

Front

How do you calculate the volume of a cylinder if you only know the diameter?

Back

First, find the radius by dividing the diameter by 2, then use the formula V = πr²h.

Front

What is the volume of a cylinder with a height of 10 inches and a radius of 4 inches?

Back

V = π(4)²(10) = 160π ≈ 502.65 cubic inches.

Front

What is the significance of volume in real-world applications?

Back

Volume measures the amount of space an object occupies, important for storage, shipping, and capacity.

Front

If a cylinder has a volume of 100 cubic inches and a height of 5 inches, what is the radius?

Back

Using V = πr²h, r = √(100/(5π)) ≈ 2.52 inches.